Properties of the Number 49088

Forty-Nine Thousand Eighty-Eight

Basics

Value: 49087 → 49088 → 49089

Parity: even

Prime: No

Previous Prime: 49081

Next Prime: 49103

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁶ × 13 × 59

Divisors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 59

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1011111111000000

Octal: 137700

Duodecimal: 244A8

Hexadecimal: bfc0

Square: 2409631744

Square Root: 221.55811878601966

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of nXk binary matrices M with rows in strictly increasing order and rows of M·Mtranspose (mod 2) in strictly increasing order. A181266

T(n,k)=Number of nXk binary matrices M with rows in strictly increasing order and rows of M·Mtranspose (mod 2) in strictly decreasing order. A181274

Susceptibility series for b.c.c. lattice. A3194

Number of 2 X n binary matrices M with rows in strictly increasing order and rows of M·Mtranspose (mod 2) in strictly increasing order. A181270

Number of 2 X n binary matrices M with rows in strictly increasing order and rows of M·Mtranspose (mod 2) in strictly decreasing order. A181278

a(n) = ceiling(π*n³). A247194

Number of n X n matrices with nonnegative integer entries and every row and column sum <= 2. A49088